28661695534080 has 4224 divisors, whose sum is σ = 133473308544000. Its totient is φ = 5805708410880.

The previous prime is 28661695534027. The next prime is 28661695534081. The reversal of 28661695534080 is 8043559616682.

It is a happy number.

28661695534080 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 1 + 6 + 95 + 534 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28661695533999 and 28661695534017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28661695534081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 774640419822 + ... + 774640419858.

Almost surely, 2^{28661695534080} is an apocalyptic number.

28661695534080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28661695534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66736654272000).

28661695534080 is an abundant number, since it is smaller than the sum of its proper divisors (104811613009920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28661695534080 is a wasteful number, since it uses less digits than its factorization.

28661695534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 28661695534080 in words is "twenty-eight trillion, six hundred sixty-one billion, six hundred ninety-five million, five hundred thirty-four thousand, eighty".